[2407.07768] A short perspective on a posteriori error control and adaptive discretizations
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Mathematics > Numerical Analysis

arXiv:2407.07768 (math)
[Submitted on 10 Jul 2024]

Title:A short perspective on a posteriori error control and adaptive discretizations

Authors:Roland Becker, Stéphane P.A. Bordas, Franz Chouly, Pascal Omnes
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Abstract:Error control by means of a posteriori error estimators or indica-tors and adaptive discretizations, such as adaptive mesh refinement, have emerged in the late seventies. Since then, numerous theoretical developments and improvements have been made, as well as the first attempts to introduce them into real-life industrial applications. The present introductory chapter provides an overview of the subject, highlights some of the achievements to date and discusses possible perspectives.
Subjects: Numerical Analysis (math.NA)
Cite as: arXiv:2407.07768 [math.NA]
  (or arXiv:2407.07768v1 [math.NA] for this version)
  https://doi.org/10.48550/arXiv.2407.07768
Journal reference: Advances in Applied Mechanics, volume 58, chapter 1, 2024
Related DOI: https://doi.org/10.1016/bs.aams.2024.03.002

Submission history

From: Franz Chouly [view email]
[v1] Wed, 10 Jul 2024 15:45:23 UTC (960 KB)
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